Coverart for item
The Resource Composite materials : mathematical theory and exact relations, Yury Grabovsky

Composite materials : mathematical theory and exact relations, Yury Grabovsky

Label
Composite materials : mathematical theory and exact relations
Title
Composite materials
Title remainder
mathematical theory and exact relations
Statement of responsibility
Yury Grabovsky
Creator
Contributor
Author
Publisher
Subject
Language
eng
Summary
The mathematical method of composites has reached a very high level of maturity and developments have increased our understanding of the relationship between the microstructure of composites and their macroscopic behaviour. This book provides a self-contained unified approach to the mathematical foundation of the theory of composites, leading to the general theory of exact relations. It also provides complete lists of exact relations in many specific physically relevant contexts, such as conductivity, fibre-reinforced elasticity, piezoelectricity, thermoelectricity and more
Member of
Biographical or historical data
Yury Grabovsky is an associate professor in the Department of Mathematics in the College of Science and Technology at Temple University, Philadelphia, USA.
Cataloging source
CaBNVSL
http://library.link/vocab/creatorName
Grabovsky, Yury
Dewey number
620.118
Illustrations
illustrations
Index
no index present
LC call number
TA418.9.C6
LC item number
G733 2016eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Institute of Physics (Great Britain)
Series statement
IOP Expanding Physics,
http://library.link/vocab/subjectName
  • Composite materials
  • Materials science
  • Mathematical Physics
  • SCIENCE
  • Composite materials
  • Materials science
Target audience
adult
Label
Composite materials : mathematical theory and exact relations, Yury Grabovsky
Instantiates
Publication
Note
  • "Version: 20161201"--Title page verso
  • Title from PDF title page (viewed on January 13, 2017)
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Preface -- 1. Introduction -- part I. Mathematical theory of composite materials
  • 2. Material properties and governing equations -- 2.1. Introduction -- 2.2. Conductivity and elasticity -- 2.3. Abstract Hilbert space framework -- 2.4. Boundary value problems -- 2.5. Geometry of local spaces
  • 3. Composite materials -- 3.1. Mathematical definition of a composite -- 3.2. Periodic composites -- 3.3. Properties of H-convergence
  • part II. General theory of exact relations and links -- 4. Exact relations -- 4.1. Introduction -- 4.2. L-relations -- 4.3. Sufficient conditions for stability under homogenization -- 4.4. Special types of exact relations -- 4.5. Proofs of theorems 4.8, 4.12, 4.11
  • 5. Links -- 5.1. Links as exact relations -- 5.2. Algebraic structure of links -- 5.3. Volume fraction formulas as links
  • 6. Computing exact relations and links -- 6.1. Finding Jordan A-multialgebras -- 6.2. Computing exact relations -- 6.3. Computing volume fraction relations -- 6.4. Finding Jordan Â-multialgebras -- 6.5. Computing links
  • part III. Case studies -- 7. Introduction
  • 8. Conductivity with the Hall effect -- 8.1. Two-dimensional conductivity with the Hall effect -- 8.2. Three-dimensional conductivity with the Hall effect -- 8.3. Fibrous conducting composites with the Hall effect
  • 9. Elasticity -- 9.1. Two-dimensional elasticity -- 9.2. Three-dimensional elasticity -- 9.3. Fibrous elastic composites
  • 10. Piezoelectricity -- 10.1. Exact relations -- 10.2. Links -- 10.3. Two-dimension-specific relations and links
  • 11. Thermoelasticity -- 11.1. Two-dimensional thermoelasticity -- 11.2. Three-dimensional thermoelasticity -- 12. Three-dimensional thermoelectricity
  • part IV. Appendices -- A. E- and J -regularity for conductivity and elasticity -- B.A polycrystalline L-relation that is not exact -- C. Multiplication of SO(3) irreps in endomorphism algebras
Control code
971508841
Dimensions
unknown
Extent
1 online resource (1 volume (various pagings))
File format
multiple file formats
Form of item
online
Isbn
9780750311151
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1088/978-0-7503-1048-2
Other physical details
color illustrations.
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)971508841
Label
Composite materials : mathematical theory and exact relations, Yury Grabovsky
Publication
Note
  • "Version: 20161201"--Title page verso
  • Title from PDF title page (viewed on January 13, 2017)
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Preface -- 1. Introduction -- part I. Mathematical theory of composite materials
  • 2. Material properties and governing equations -- 2.1. Introduction -- 2.2. Conductivity and elasticity -- 2.3. Abstract Hilbert space framework -- 2.4. Boundary value problems -- 2.5. Geometry of local spaces
  • 3. Composite materials -- 3.1. Mathematical definition of a composite -- 3.2. Periodic composites -- 3.3. Properties of H-convergence
  • part II. General theory of exact relations and links -- 4. Exact relations -- 4.1. Introduction -- 4.2. L-relations -- 4.3. Sufficient conditions for stability under homogenization -- 4.4. Special types of exact relations -- 4.5. Proofs of theorems 4.8, 4.12, 4.11
  • 5. Links -- 5.1. Links as exact relations -- 5.2. Algebraic structure of links -- 5.3. Volume fraction formulas as links
  • 6. Computing exact relations and links -- 6.1. Finding Jordan A-multialgebras -- 6.2. Computing exact relations -- 6.3. Computing volume fraction relations -- 6.4. Finding Jordan Â-multialgebras -- 6.5. Computing links
  • part III. Case studies -- 7. Introduction
  • 8. Conductivity with the Hall effect -- 8.1. Two-dimensional conductivity with the Hall effect -- 8.2. Three-dimensional conductivity with the Hall effect -- 8.3. Fibrous conducting composites with the Hall effect
  • 9. Elasticity -- 9.1. Two-dimensional elasticity -- 9.2. Three-dimensional elasticity -- 9.3. Fibrous elastic composites
  • 10. Piezoelectricity -- 10.1. Exact relations -- 10.2. Links -- 10.3. Two-dimension-specific relations and links
  • 11. Thermoelasticity -- 11.1. Two-dimensional thermoelasticity -- 11.2. Three-dimensional thermoelasticity -- 12. Three-dimensional thermoelectricity
  • part IV. Appendices -- A. E- and J -regularity for conductivity and elasticity -- B.A polycrystalline L-relation that is not exact -- C. Multiplication of SO(3) irreps in endomorphism algebras
Control code
971508841
Dimensions
unknown
Extent
1 online resource (1 volume (various pagings))
File format
multiple file formats
Form of item
online
Isbn
9780750311151
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1088/978-0-7503-1048-2
Other physical details
color illustrations.
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)971508841

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      38.944491 -92.326012
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